Difference between revisions of "Linear equation"

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Linear equations are any algebraic equations where both sides of the equation are [[polynomials]] of the first [[degree]].
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Linear equations are any algebraic equations where both sides of the equation are [[polynomials]] or [[monomials]] of the first [[degree]].
  
 
== single-variable equations ==
 
== single-variable equations ==

Revision as of 06:50, 4 December 2008

Linear equations are any algebraic equations where both sides of the equation are polynomials or monomials of the first degree.

single-variable equations

Single-variable linear equations can always be expressed in the form: $ax+b=0$

where $a$ and $b$ are constants and $x$ is the variable.

From this form, they can be solved with the following steps:

1. subtract $b$ from both sides.

2. divide $a$ from both sides.

two-variable equations

Two-variable linear equations can always be expressed in the form: $y=mx+b$

Where $y$ and $x$ are variables and $m$ and $b$ are constants.

Two-variable linear equations can be drawn as a straight line on a coordinate plane. $m$ can be defined as the slope and $b$ can be defined as the y-intercept